Bounded holomorphic functions covering no concentric circles

DOI10.1007/s10958-015-2406-5zbMath1359.30041OpenAlexW2184197909MaRDI QIDQ280886

V. N. Dubinin

Publication date: 10 May 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2406-5

zbMATH Keywords

Schwarzian derivativedistortionbounded holomorphic functions in the disk

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (15)

Some Estimates for Holomorphic Functions at the Boundary of the Unit Disc ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On holomorphic self-mappings of the unit disk ⋮ Upper and lower estimates for the modulus of bounded holomorphic functions ⋮ Applications of the Jack's lemma for the meromorphic functions ⋮ Unnamed Item ⋮ Applications of the Jack's lemma for the holomorphic functions ⋮ Estimates for \(\lambda \)-spirallike functions of complex order on the boundary ⋮ On the Schwarz lemma at the upper half plane ⋮ Boundary Schwarz lemma for holomorphic functions ⋮ Behavior of meromorphic functions at the boundary of the unit disc ⋮ Some remarks on Schwarz lemma at the boundary

Cites Work

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• Growth theorems for holomorphic functions under geometric conditions for the image
• Condenser capacity and meromorphic functions
• Inequalities for angular derivatives and boundary interpolation
• Boundary distortion estimates for holomorphic maps
• A note on Julia-Carathéodory theorem for functions with fixed initial coefficients
• SHARPENED FORMS OF THE SCHWARZ LEMMA ON THE BOUNDARY
• Boundary values of the Schwarzian derivative of a regular function
• A refined Schwarz inequality on the boundary
• Schwarz's lemma and estimates of coefficients for regular functions with free domain of definition

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